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164840727 = 3296189349
BaseRepresentation
bin10011101001101…
…00010100010111
3102111011202222010
421310310110113
5314144400402
624205035303
74041060132
oct1164642427
9374152863
10164840727
1185059307
1247255b33
13281c6bbc
1417c6d219
15e711a6c
hex9d34517

164840727 has 32 divisors (see below), whose sum is σ = 234360000. Its totient is φ = 102896640.

The previous prime is 164840723. The next prime is 164840777. The reversal of 164840727 is 727048461.

164840727 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164840727 - 22 = 164840723 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164840723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472149 + ... + 472497.

It is an arithmetic number, because the mean of its divisors is an integer number (7323750).

Almost surely, 2164840727 is an apocalyptic number.

164840727 is a deficient number, since it is larger than the sum of its proper divisors (69519273).

164840727 is a wasteful number, since it uses less digits than its factorization.

164840727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531.

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 164840727 is about 12839.0313886991. The cubic root of 164840727 is about 548.3041172975.

The spelling of 164840727 in words is "one hundred sixty-four million, eight hundred forty thousand, seven hundred twenty-seven".

Divisors: 1 3 29 61 87 89 183 267 349 1047 1769 2581 5307 5429 7743 10121 16287 21289 30363 31061 63867 93183 157441 472323 617381 900769 1852143 1894721 2702307 5684163 54946909 164840727